On (Fuzzy)SA-ideals of SA-algebras : SA-algbers , SA-ideals , Fuzzy SA-ideal of SA-algebras

ISBN-13: 9783659935053 / Angielski / Miękka / 2016 / 188 str.

Areej Tawfeeq Hameed

Opis

This Book consists of five chapters. In the first chapter, we have given an exhaustive of the basic definitions in BCI(BCK)-algebras and fuzzy sets which are needed in the subsequent chapters and further, the history of the problem.In the second chapter, we introduce a new notion of algebras called SA-algebras. The notions of SA-algebras, SA-subalgebras,SA-ideals and homomorphism of SA-algebras are introduced. In the thried chapter,the notion of fuzzy SA-ideals with degree of SA-algebras is introduced. The image and inverse image of fuzzy SA-ideals with degree under homomorphism are defined In the fourth chapter, we introduce the notion of anti-fuzzy SA-ideals with degree of SA-algebras and then we study the then we study the homomorphism image and inverse image of anti-fuzzy SA-ideal with degree . In the fifth chapter , the notion of interval-valued fuzzy SA-ideals with degree (briefly i-v fuzzy SA-ideal) on SA-algebras is introduced. The image and inverse image of i-v fuzzy SA-ideals with degree under homomorphism are defined and how the homomorphic images and inverse images -v fuzzy SA-ideals with degree of SA-algebras is studied as well.

O autorze

Dr. Areej Tawfeeq Hameed AL-BudarubPh.D.Sc. Degree in Mathematics , Ain Shams University, Faculty of Science , Cairo, Egypt ,2015 .M.Sc. in Mathematics , University of Baghdad , College of Education Ibn-AL-Haitham ,2000 .